Question

A professor wants t o pick 2 students out of a group of 6 students at random (order is not important) how many selections are possible

a) 8
b) 30
c) 12
d) 15

Answer 1

There are 15 possible selections of 2 students out of the group of 6.

Step-by-step explanation:

The professor wants to pick 2 students out of a group of 6 students at random, with order not being important.

To find the number of selections possible, we can use the combination formula. The formula for finding the number of combinations of selecting r items out of n total items is: nCr = n! / (r!(n-r)!)

In this case, we want to select 2 students out of 6, so the formula becomes: 6C2 = 6! / (2!(6-2)!)

Simplifying the expression, we get: 6C2 = 6! / (2!4!) = (6 x 5 x 4 x 3 x 2 x 1) / ((2 x 1)(4 x 3 x 2 x 1)) = 15

Therefore, there are 15 possible selections of 2 students out of the group of 6.